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This paper investigates a change-point estimation problem in the context of high-dimensional Markov Random Field models. Change-points represent a key feature in many dynamically evolving network structures. The change-point estimate is…

统计方法学 · 统计学 2018-02-13 Sandipan Roy , Yves Atchade , George Michailidis

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

统计理论 · 数学 2008-12-18 Hongling Zhou , Kung-Yee Liang

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

统计理论 · 数学 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

We consider a popular online change-point problem of detecting a transient change in distributions of i.i.d. random variables. For this change-point problem, several change-point procedures are formulated and some advanced results for a…

统计理论 · 数学 2021-04-08 Jack Noonan

This paper addresses the open problem of conducting change-point analysis for interval-valued time series data using the maximum likelihood estimation (MLE) framework. Motivated by financial time series, we analyze data that includes daily…

统计方法学 · 统计学 2024-10-15 Li-Hsien Sun , Zong-Yuan Huang , Chi-Yang Chiu , Ning Ning

Estimating model parameters is a crucial step in mathematical modelling and typically involves minimizing the disagreement between model predictions and experimental data. This calibration data can change throughout a study, particularly if…

定量方法 · 定量生物学 2023-11-03 Tyler Cassidy

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

统计理论 · 数学 2021-12-14 Baron Michael , Malov Sergey

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

机器学习 · 计算机科学 2023-01-24 Nikolaj Tatti

For estimating the proportion of false null hypotheses in multiple testing, a family of estimators by Storey (2002) is widely used in the applied and statistical literature, with many methods suggested for selecting the parameter $\lambda$.…

统计方法学 · 统计学 2024-05-07 Anica Kostic , Piotr Fryzlewicz

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

统计方法学 · 统计学 2022-11-07 Euan T. McGonigle , Haeran Cho

We address the problem of detection and estimation of one or two change-points in the mean of a series of random variables. We use the formalism of set estimation in regression: To each point of a design is attached a binary label that…

统计理论 · 数学 2018-09-07 Victor-Emmanuel Brunel

A change point problem occurs in many statistical applications. If there exist change points in a model, it is harmful to make a statistical analysis without any consideration of the existence of the change points and the results derived…

统计方法学 · 统计学 2011-01-24 Xiaoping Shi , Yuehua Wu , Baisuo Jin

A change point detection procedure using the method of moment estimators is proposed. The test statistics is based on a suitable $Z$-process. The asymptotic behavior of this process is established under both the null and the alternative…

统计理论 · 数学 2020-10-08 Ilia Negri , Yoichi Nishiyama

The problem of change-point estimation is considered under a general framework where the data are generated by unknown stationary ergodic process distributions. In this context, the consistent estimation of the number of change-points is…

机器学习 · 统计学 2013-02-15 Azaden Khaleghi , Daniil Ryabko

Change-point detection and estimation procedures have been widely developed in the literature. However, commonly used approaches in change-point analysis have mainly been focusing on detecting change-points within an entire time series…

统计方法学 · 统计学 2024-05-27 Chak Fung Choi , Chunxue Li , Chun Yip Yau , Zifeng Zhao

In this paper the problem of retrospective change-point detection and estimation in multivariate linear models is considered. The lower bounds for the error of change-point estimation are proved in different cases (one change-point:…

统计理论 · 数学 2011-10-27 Boris Brodsky , Boris Darkhovsky

Score matching estimators have gained widespread attention in recent years partly because they are free from calculating the integral of normalizing constant, thereby addressing the computational challenges in maximum likelihood estimation…

机器学习 · 统计学 2024-10-08 Haoqun Cao , Zizhuo Meng , Tianjun Ke , Feng Zhou

Given a times series ${\bf Y}$ in $\mathbb{R}^n$, with a piece-wise contant mean and independent components, the twin problems of change-point detection and change-point localization respectively amount to detecting the existence of times…

The pattern maximum likelihood (PML) estimate, introduced by Orlitsky et al., is an estimate of the multiset of probabilities in an unknown probability distribution $\mathbf{p}$, the estimate being obtained from $n$ i.i.d. samples drawn…

离散数学 · 计算机科学 2015-06-03 Chun Lam Chan , Winston Fernandes , Navin Kashyap , Manjunath Krishnapur

Generative, temporal network models play an important role in analyzing the dependence structure and evolution patterns of complex networks. Due to the complicated nature of real network data, it is often naive to assume that the underlying…

统计方法学 · 统计学 2024-08-15 Daniel Cirkovic , Tiandong Wang , Xianyang Zhang
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